105167967513 has 8 divisors (see below), whose sum is σ = 160255950528. Its totient is φ = 60095981424.

The previous prime is 105167967467. The next prime is 105167967517. The reversal of 105167967513 is 315769761501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105167967513 - 2¹⁷ = 105167836441 is a prime.

It is a super-2 number, since 2×105167967513² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105167967517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2503999206 + ... + 2503999247.

It is an arithmetic number, because the mean of its divisors is an integer number (20031993816).

Almost surely, 2^105167967513 is an apocalyptic number.

It is an amenable number.

105167967513 is a deficient number, since it is larger than the sum of its proper divisors (55087983015).

105167967513 is an equidigital number, since it uses as much as digits as its factorization.

105167967513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007998463.

The product of its (nonzero) digits is 1190700, while the sum is 51.

The spelling of 105167967513 in words is "one hundred five billion, one hundred sixty-seven million, nine hundred sixty-seven thousand, five hundred thirteen".